Multi-mode non-linear vibration and postbuckling of anti-symmetric imperfect angle-ply cylindrical thick panels

Abstract A dynamic non-linear theory for generally laminated shallow cylindrical panels is developed with the aid of Hamilton's principle. The effects of transverse shear deformation, rotatory inertia and geometrically initial imperfection are included in the analysis. A multi-mode solution is formulated for non-linear free vibration of an anti-symmetric angle-ply cylindrical laminate with its edges elastically restrained against rotation. The resulting equations for time functions are solved by the method of harmonic balance. The postbuckling behavior of the panel is treated as a special case. Numerical results in non-linear vibration and postbuckling are presented for different values of the amplitude of initial imperfection, side-to-thickness ratio, rotational edge stiffness, aspect ratio, orientation angle, number of layers and material properties. Present results are compared with available data.

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